It's just a 2007 Suzuki DL-650 V-Strom. Since they made a 1000 and a 650, people dubbed the 650's Wee-Strom, or simply Wee.

This is what it looks like normally. I ride it to work often (180 miles round trip). I took the V-Strom stickers off of the fairing and put on the shark face. It's a road machine that only kind of does adventure style riding, but it was cheap and it's quite reliable.